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Finding the Fourth Proportional to 146,398.56, 201,918.40 and 126,015.20

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Solution

The fourth proportional to 146,398.56, 201,918.40 and 126,015.20 is: 173,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,398.56 : 201,918.40 = 126,015.20 : x
  2. Step 2: Convert to fraction form
    146,398.56/201,918.40 = 126,015.20/x
  3. Step 3: Cross multiply
    146,398.56x = 201,918.40 × 126,015.20
  4. Step 4: Simplify right side
    146,398.56x = 25,444,787,559.68
  5. Step 5: Solve for x
    x = 25,444,787,559.68/146,398.56
  6. Step 6: Final answer
    x = 173,804.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.